Question 21 (B) - CBSE Class 12 Sample Paper for 2026 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at July 13, 2026 by Teachoo

[Maths Sample Paper] Find the domain of cos^(−1) (3𝑥−2) - Class 12 - CBSE Class 12 Sample Paper for 2026 Boards

part 2 - Question 21 (B) - CBSE Class 12 Sample Paper for 2026 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

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Question 21 (B) Find the domain of cos^(−1) (3𝑥−2)For 〖𝒄𝒐𝒔〗^(−𝟏) 𝒂 Domain = All possible values of a = [–1, 1] Range = All possible values of 〖𝑐𝑜𝑠〗^(−1) 𝑎 = [0, 𝝅] Now, Domain of cos^(−1) (3𝑥−2) is –1 ≤ 3x – 2 ≤ 1 Adding 2 all sides –1 + 2 ≤ 3x – 2 + 2 ≤ 1 + 2 1 ≤ 3x ≤ 3 Diving by 3 all sides 1/3 ≤ 3𝑥/3 ≤ 3/3 Diving by 3 all sides 1/3 ≤ 3𝑥/3 ≤ 3/3 𝟏/𝟑 ≤ 𝒙 ≤ 1 Thus, domain is [𝟏/𝟑,𝟏]

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